Calculation of the current noise spectrum in mesoscopic transport: A quantum master equation approach

Luo, Jun; Li, Xin-Qi; Yan, YiJing

doi:10.1103/physrevb.76.085325

Cited by 54 publications

(98 citation statements)

References 53 publications

(93 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[67][68][69] Figure 2 depicts the HEOM calculated S Q (ω) of the SIAM under our investigation. At equilibrium, the spectrum exhibits a crossover behavior, where the two peaks centered at around ω = | | = 0.5 meV and ω = | + U | = 1 meV largely overlap and form a broad peak.…”

Section: Resultsmentioning

confidence: 99%

Hierarchical Liouville-space approach to nonequilibrium dynamical properties of quantum impurity systems

et al. 2013

Self Cite

View full text Add to dashboard Cite

We propose a hierarchical dynamics approach for evaluation of nonequilibrium dynamic response properties of quantum impurity systems. It is based on a hierarchical equations of motion formalism, in conjunction with a linear response theory established in the hierarchical Liouville space. This provides an accurate and universal tool for characterization of a variety of response and correlation functions of local impurities, as well as transport related response properties. The practicality of our proposed approach is demonstrated via the evaluation of various dynamical properties of a single-impurity Anderson model. These include the impurity spectral density, local charge fluctuation, local magnetic susceptibility, and current-voltage admittance, in both equilibrium and nonequilibrium situations. The numerical results are considered to be quantitatively accurate, as long as they converge quantitatively with respect to the truncation of the hierarchy.

show abstract

Section: Resultsmentioning

confidence: 99%

Hierarchical Liouville-space approach to nonequilibrium dynamical properties of quantum impurity systems

et al. 2013

Self Cite

View full text Add to dashboard Cite

show abstract

“…109 . As expected from the current in the CBHB regime, it can be checked easily that the zero-frequency version of the above Fano factor is always super-Poissonian when one of the right-associated tunneling rates vanishes (bunching due to dynamical channel blockade) and is always sub-Poissonian when one of the left-associated tunneling rates vanishes.…”

Section: Transport Results: Parallel Configuration a Bms Rate Ementioning

confidence: 99%

“…109 . From the positivity of the tunneling rates it is obvious that the above Fano factor is always subPoissonian, which well matches our expectations for the infinite bias limit.…”

Section: Transport Results: Parallel Configuration a Bms Rate Ementioning

confidence: 99%

Transport statistics of interacting double dot systems: Coherent and non-Markovian effects

2009

View full text Add to dashboard Cite

We formalize the derivation of a generalized coarse-graining n-resolved master equation by introducing a virtual detector counting the number of transferred charges in single-electron transport. Our approach enables the convenient inclusion of coherences and Lamb shift in counting statistics. As a Markovian example with Lindblad-type density matrices, we consider the Born-Markov-Secular (BMS) approximation which is a special case of the non-Markovian dynamical coarse graining (DCG) approach. For illustration we consider transport through two interacting levels that are either serially or parallelly coupled to two leads held at different chemical potentials. It is shown that the coherences can strongly influence the (frequency-dependent) transport cumulants: In the serial case the neglect of coherences would lead to unphysical currents through disconnected conductors. Interference effects in the parallel setup can cause strong current suppression with giant Fano factors and telegraph-like distribution functions of transferred electrons, which is not found without coherences. We demonstrate that with finite coarse graining times coherences are automatically included and, consequently, the shortcomings of the BMS approximation are resolved.

show abstract

“…U 0 and U ′ are respectively the intradot and interdot Coulomb repulsions; Ω denotes the strength of interdot tunnel-coupling. Hereafter, we consider doubledot Coulomb blockade regime [43,44], i.e., U 0 and U ′ are large enough such that states with two or more electrons in the double dots are not allowed. The involved states are both dots empty |0 , one electron with spin σ in the QD1 |1σ or QD2 |2σ .…”

Section: Model Descriptionmentioning

confidence: 99%

Spin-resolved bunching and noise characteristics in double quantum dots coupled to ferromagnetic electrodes

Luo¹,

Jiao²,

Xiong³

et al. 2013

J. Phys.: Condens. Matter

Self Cite

View full text Add to dashboard Cite

We study spin-resolved noise in Coulomb blockaded double quantum dots coupled to ferromagnetic electrodes. The modulation of the interdot coupling and spin polarization in the electrodes gives rise to an intriguing dynamical spin ↑-↑ (↓-↓) blockade mechanism: Bunching of up (down) spins due to dynamical blockade of an up (down) spin. In contrast to the conventional dynamical spin ↑-↓ bunching (bunching of up spins entailed by dynamical blockade of a down spin), this new bunching behavior is found to be intimately associated with the spin mutual-correlation, i.e., the noise fluctuation between opposite spin currents. We further demonstrate that the dynamical spin ↑-↑ and ↑-↓ bunching of tunneling events may be coexistent in the regime of weak interdot coupling and low spin polarization.

show abstract

Calculation of the current noise spectrum in mesoscopic transport: A quantum master equation approach

Cited by 54 publications

References 53 publications

Hierarchical Liouville-space approach to nonequilibrium dynamical properties of quantum impurity systems

Hierarchical Liouville-space approach to nonequilibrium dynamical properties of quantum impurity systems

Transport statistics of interacting double dot systems: Coherent and non-Markovian effects

Spin-resolved bunching and noise characteristics in double quantum dots coupled to ferromagnetic electrodes

Contact Info

Product

Resources

About